Some Recurrence Relations and Hilbert Series of Right-Angled Affine Artin Monoid M(D~n∞)

Affiliations

Young Chel Kuwn: Department of Mathematics, Dong-A University, Busan 49315, Republic of Korea
Zaffar Iqbal: Department of Mathematics, University of Gujrat, Gujrat, Pakistan
Abdul Rauf Nizami: Faculty of Information Technology, University of Central Punjab, Lahore, Pakistan
Mobeen Munir: University of Education, Township Lahore, Pakistan
Sana Riaz: Department of Mathematics, University of Gujrat, Gujrat, Pakistan
Shin Min Kang: Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Republic of Korea

Abstract

We find the Hilbert series of the right-angled affine Artin monoid M(D~n∞). We also discuss its recurrence relation and the growth rate.